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211010210190 = 23351364519319
BaseRepresentation
bin1100010010000100110…
…0000100100110001110
3202011122122221022111000
43010201030010212032
511424122103211230
6240534201041130
721150013123113
oct3044114044616
9664578838430
10211010210190
118154184306a
1234a8aa861a6
1316b8a3acc50
14a2da48c90a
15574ed7db60
hex312130498e

211010210190 has 128 divisors (see below), whose sum is σ = 606137011200. Its totient is φ = 51927350400.

The previous prime is 211010210189. The next prime is 211010210249. The reversal of 211010210190 is 91012010112.

It is a happy number.

It is a super-2 number, since 2×2110102101902 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22638351 + ... + 22647669.

It is an arithmetic number, because the mean of its divisors is an integer number (4735445400).

Almost surely, 2211010210190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211010210190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303068505600).

211010210190 is an abundant number, since it is smaller than the sum of its proper divisors (395126801010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211010210190 is a wasteful number, since it uses less digits than its factorization.

211010210190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15799 (or 15793 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 211010210190 in words is "two hundred eleven billion, ten million, two hundred ten thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 6451 9319 12902 18638 19353 27957 32255 38706 46595 55914 58059 64510 83863 83871 93190 96765 116118 121147 139785 167726 167742 174177 193530 242294 251589 251613 279570 290295 348354 363441 419315 419355 503178 503226 580590 605735 726882 754767 838630 838710 870885 1090323 1211470 1257945 1258065 1509534 1741770 1817205 2180646 2264301 2515890 2516130 3270969 3634410 3773835 4528602 5451615 6541938 7547670 10903230 11321505 16354845 22643010 32709690 60116869 120233738 180350607 300584345 360701214 541051821 601168690 781519297 901753035 1082103642 1563038594 1623155463 1803506070 2344557891 2705259105 3246310926 3907596485 4689115782 5410518210 7033673673 7815192970 8115777315 11722789455 14067347346 16231554630 21101021019 23445578910 35168368365 42202042038 70336736730 105505105095 211010210190